PROOF.tr.len_eq: def of bend-osdev-mode-core@0.1.0.0
Import: import bend-osdev-mode-core@0.1.0.0/PROOF.bend as PROOF
Lines 513-514 of bend-osdev-mode-core@0.1.0.0/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-mode-core@0.1.0.0/PROOF.bend&start_line=513&end_line=514

import Base
import bend-osdev-mode-core@0.1.0.0/mode_core.bend as M
import bend-osdev-u32@0.1.0.0/LAWS.bend as UL

def tr.len_eq(+bs: List<&2, M.CmBlock>) -> {List.length(&2, M.CmBlock, bs) == M.cm.blocks.len(bs) : Nat}:
  Equal.sym(Nat, M.cm.blocks.len(bs), List.length(&2, M.CmBlock, bs), Equal.trans(Nat, M.cm.blocks.len.go(bs, 0n), Nat.add(List.length(&2, M.CmBlock, bs), 0n), List.length(&2, M.CmBlock, bs), tr.len_go(bs, 0n), UL.nat_add_zero(List.length(&2, M.CmBlock, bs))))

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-mode-core@0.1.0.0/PROOF.bend&name=tr.len_go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-mode-core@0.1.0.0/mode_core.bend&name=CmBlock
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-mode-core@0.1.0.0/mode_core.bend&name=cm.blocks.len
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-mode-core@0.1.0.0/mode_core.bend&name=cm.blocks.len.go
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-u32@0.1.0.0/LAWS.bend&name=nat_add_zero